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Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
Author(s) -
Yang XiaoJun,
Feng YiYing,
Cattani Carlo,
Inc Mustafa
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5634
Subject(s) - mathematics , laplace transform , anomalous diffusion , kernel (algebra) , diffusion , exponential decay , exponential function , mathematical analysis , exponential growth , diffusion equation , pure mathematics , physics , innovation diffusion , quantum mechanics , computer science , knowledge management , economy , economics , service (business)
In the letter, we consider the anomalous diffusion equations involving the general derivatives with the decay exponential kernel for the first time. With the use of the Laplace transform, the analytical solutions with graphs are discussed in detail. The results are accurate and efficient in the description of the behaviors of the anomalous diffusion problems.